1. (45 points) Consider a van der Waals gas with a=0, i.e., a gas described by the equation of state  P  nRT V  nb . Suppose this system is confined in a cylinder with a movable piston, immersed in a heat reservoir at temperature T. Suppose further that its initial state is P i ,V i , and T , and that its final state is P f , V f , and T, with P f < P i and V f > V i . (a) The first process that takes the system from this initial to final state is an isothermal reversible expansion. Calculate ) V  P .]

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